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Finding the Fourth Proportional to 6,809.33, 9,397.79 and 3,825.33

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Solution

The fourth proportional to 6,809.33, 9,397.79 and 3,825.33 is: 5,279.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.33 : 9,397.79 = 3,825.33 : x
  2. Step 2: Convert to fraction form
    6,809.33/9,397.79 = 3,825.33/x
  3. Step 3: Cross multiply
    6,809.33x = 9,397.79 × 3,825.33
  4. Step 4: Simplify right side
    6,809.33x = 35,949,628.89
  5. Step 5: Solve for x
    x = 35,949,628.89/6,809.33
  6. Step 6: Final answer
    x = 5,279.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.